The warranty on a new tire says that an automobile can travel for a distance of 92,000km before the tire wears out. The radius of the tire is 0.33m. How many revolutions does the tire make before wearing out?
hello CJ I think we are in the same class. I had sent you an e-mail.
92,000*10^3 m = N * (tire circumference)
= 2*pi*R N = 9.2*10^7.
Solve for the number of turns, N.
R is the radius in meters
, 0.33m.
N = 9.2*10^7/(2*pi*0.33)
N = 2.8*10^8 revolutions
Hello! I'm sorry, but I don't have access to past emails or personal information. However, I'm here to help you with your question about the tire.
To find the number of revolutions the tire makes before wearing out, we can use the formula:
Number of revolutions (N) = Distance traveled / Circumference of the tire
Given that the distance traveled before the tire wears out is 92,000 km and the radius of the tire is 0.33 m, we need to convert the distance to meters and calculate the circumference.
Distance traveled = 92,000 km = 92,000 * 1000 m = 92,000,000 m
Radius of the tire = 0.33 m
Now, we can find the circumference of the tire:
Circumference of the tire = 2 * π * Radius
= 2 * 3.14 * 0.33
= 2.0646 m (approx.)
Finally, we can calculate the number of revolutions:
Number of revolutions (N) = Distance traveled / Circumference of the tire
= 92,000,000 m / 2.0646 m
≈ 44,584,783 revolutions
Therefore, the tire will make approximately 44,584,783 revolutions before wearing out.
To find the number of revolutions the tire makes before wearing out, we can use the formula:
N = (distance traveled) / (circumference of the tire)
Given that the distance traveled is 92,000 km and the radius of the tire is 0.33 m, we need to convert the distance to meters and calculate the circumference of the tire.
First, let's convert the distance traveled to meters:
92,000 km * 1000 m/km = 92,000,000 m
Now, let's calculate the circumference of the tire using the radius:
Circumference = 2 * π * radius
Circumference = 2 * 3.14 * 0.33 m
Circumference ≈ 2.0676 m (rounded to four decimal places)
Now, we can calculate the number of revolutions:
N = 92,000,000 m / 2.0676 m
N ≈ 44,541,280 revolutions (rounded to the nearest whole number)
Therefore, the tire will make approximately 44,541,280 revolutions before wearing out.